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A particle method for 1-D compressible fluid flow

Karafyllis Iason, Papageorgiou Markos

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URIhttp://purl.tuc.gr/dl/dias/1EABC56C-8006-4C75-8B46-33EA52D28F51-
Identifierhttps://doi.org/10.1111/sapm.12623-
Identifierhttps://onlinelibrary.wiley.com/doi/10.1111/sapm.12623-
Languageen-
Extent35 pagesen
TitleA particle method for 1-D compressible fluid flowen
CreatorKarafyllis Iasonen
CreatorΚαραφυλλης Ιασωνel
CreatorPapageorgiou Markosen
CreatorΠαπαγεωργιου Μαρκοςel
PublisherWileyen
DescriptionThe research leading to these results has received funding from the European Research Council under the European Union’s Horizon 2020 Research and Innovation programme/ ERC Grant Agreement n. [833915], project TrafficFluid.en
Content SummaryThis paper proposes a novel particle scheme that provides convergent approximations of a weak solution of the Navier-Stokes equations for the 1-D flow of a viscous compressible fluid. Moreover, it is shown that all differential inequalities that hold for the fluid model are preserved by the particle method: mass is conserved, mechanical energy is decaying, and a modified mechanical energy functional is also decaying. The proposed particle method can be used both as a numerical method and as a method of proving existence of solutions for compressible fluid models.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Date of Item2024-06-28-
Date of Publication2023-
SubjectParticle methodsen
SubjectCompressible fluid flowen
Bibliographic CitationI. Karafyllis and M. Papageorgiou, “A particle method for 1‐D compressible fluid flow,” Stud. Appl. Math., 2023, doi: 10.1111/sapm.12623.en

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